A general revealed preference theorem for stochastic demand behavior

Economic Theory

Volumn 23, Issue 3, 2004, Pages 589-599

  Bandyopadhyay, Taradas ^a   Dasgupta, Indraneel ^b   Pattanaik, Prasanta K ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

Stochastic choice; Stochastic substitutability; Stochastic substitution theorem; Weak axiom of revealed preference; Weak axiom of stochastic revealed preference

Indexed keywords

EID: 1642618457     PISSN: 09382259     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00199-003-0388-x     Document Type: Article

References (29)

1. Bandyopadhyay, T., Dasgupta, I., Pattanaik, P. K.: Stochastic revealed preference and the theory of demand. Journal of Economic Theory 84, 95-110 (1999)
2. Barbera, S., Pattanaik, P. K.: Falmagne and the Rationalizability of stochastic choices in terms of random orderings. Econometrica 54, 707-715 (1986)
3. Becker, G. M., DeGroot, M. H., Marschak, J.: Stochastic models of choice behavior. Behavioral Science 8, 41-55 (1963)
4. Block, H. D., Marschak, J.: Random orderings and stochastic theories of response. In: Olkin, I., Ghurye, S., Hoeffding, W., Madow, W., Mann, H. (eds.) Contributions to probability and statistics. Stanford: Stanford University Press 1960
5. Cohen, M. A.: Random utility systems: the infinite case. Journal of Mathematical Psychology 22, 1-23 (1980)
6. Corbin, R., Marley, A. A. J.: Random utility models with equality: an apparent, but not actual, generalization of random utility models. Journal of Mathematical Psychology 11, 274-293 (1974)
7. Falmagne, J. C.: A representation theorem for finite random scale systems. Journal of Mathematical Psychology 18, 52-72 (1978)
8. Fishburn, P.: Choice probabilities and choice functions. Journal of Mathematical Psychology 18, 205-219 (1978)
9. Fishburn, P.: Models of individual preference and choice. Synthese 36, 287-314 (1977)
10. Fishburn, P.: Binary choice probabilities: on the varieties of stochastic transitivity. Journal of Mathematical Psychology 10, 327-352 (1973)
11. Georgescu-Roegen, N.: Threshold in choice and the theory of demand. Econometrica 26, 157-168 (1958)
12. Georgescu-Roegen, N.: The Theory of Choice and the Constancy of Economic Laws. Quarterly Journal of Economics 64, 125-138 (1950)
13. Georgescu-Roegen, N.: The pure theory of consumer's behaviour. Quarterly Journal of Economics 50, 545-593 (1936)
14. Halldin, C.: The choice axiom, revealed preference and the theory of demand. Theory and Decision 5, 139-160 (1974)
15. Hey, J. D.: Experimental investigations of errors in decision making under risk. European Economic Review 39, 633-640 (1995)
16. Loomes, G., Sugden, R.: Incorporating a stochastic element into decision theories. European Economic Review 39, 641-648 (1995)
17. Luce, R. D.: The choice axiom after twenty years. Journal of Mathematical Psychology 15, 215-233 (1977)
18. Luce, R. D.: Individual choice behaviour. New York: Wiley 1959
19. Luce, R. D.: A probabilistic theory of utility. Econometrica 26, 193-224 (1958)
20. Luce, R. D., Suppes, P.: Preference, utility and subjective probability. In: Luce, R. D., Bush, R. R., Galanter, E. (eds.) Handbook of mathematical psychology, Vol. III. New York: John Wiley 1965
21. Machina, M. J.: Stochastic choice functions generated from deterministic preferences over lotteries. Economic Journal 95, 575-594 (1985)
22. Marschak, J.: Binary choice constraints and random utility indicators. In: Arrow, K. J., Karlin, S., Suppes, P. (eds.) Proceedings of a Symposium on Mathematical Methods in the Social Sciences. Stanford: Stanford University Press 1960
23. Mas-Colell, A., Whinston, M. D., Green, J.: Microeconomic theory. New York: Oxford University Press 1995
24. Nachbar, J. H.: General equilibrium comparative statics. Econometrica (forthcoming)
25. Nandeibam, S.: On the rationalizability of randomized choice. Mimeo, Department of Economics, University of Birmingham, UK (1999)
26. Quah, J. K.- H.: Comparative statics and welfare theorems when all goods are normal. Working Paper, Nuffield College, Oxford, No. 2001-W24 (2001)
27. Quandt, R.: A probabilistic theory of consumer behaviour. Quarterly Journal of Economics 70, 507-536 (1956)
28. Samuelson, P.A.: Foundations of economic analysis. Cambridge, MA: Harvard University Press 1947
29. Sattath, S., Tversky, A.: Unite and conquer: a multiplicative inequality for choice probability. Econometrica 44, 79-89 (1976)